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138368592 = 24323312903
BaseRepresentation
bin10000011111101…
…01011001010000
3100122100212000200
420033311121100
5240410243332
621421415200
73300053655
oct1017653120
9318325020
10138368592
117111840a
123a40a500
132288890b
141453bc2c
15c23317c
hex83f5650

138368592 has 60 divisors (see below), whose sum is σ = 388543584. Its totient is φ = 45967680.

The previous prime is 138368591. The next prime is 138368597. The reversal of 138368592 is 295863831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138368591) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46213 + ... + 49115.

Almost surely, 2138368592 is an apocalyptic number.

138368592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138368592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194271792).

138368592 is an abundant number, since it is smaller than the sum of its proper divisors (250174992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138368592 is a wasteful number, since it uses less digits than its factorization.

138368592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3248 (or 3239 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 138368592 is about 11763.0179800934. The cubic root of 138368592 is about 517.2246017694.

The spelling of 138368592 in words is "one hundred thirty-eight million, three hundred sixty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 331 662 993 1324 1986 2648 2903 2979 3972 5296 5806 5958 7944 8709 11612 11916 15888 17418 23224 23832 26127 34836 46448 47664 52254 69672 104508 139344 209016 418032 960893 1921786 2882679 3843572 5765358 7687144 8648037 11530716 15374288 17296074 23061432 34592148 46122864 69184296 138368592